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70072080 = 24351337607
BaseRepresentation
bin1000010110100…
…11011100010000
311212212000211020
410023103130100
5120414301310
610541515440
71510413531
oct413233420
9155760736
1070072080
1136610211
121b572b80
1311695590
149440688
156242170
hex42d3710

70072080 has 160 divisors (see below), whose sum is σ = 240651264. Its totient is φ = 16754688.

The previous prime is 70072061. The next prime is 70072081. The reversal of 70072080 is 8027007.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 70072080.

It is not an unprimeable number, because it can be changed into a prime (70072081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115137 + ... + 115743.

Almost surely, 270072080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120325632).

70072080 is an abundant number, since it is smaller than the sum of its proper divisors (170579184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70072080 is a wasteful number, since it uses less digits than its factorization.

70072080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 70072080 is about 8370.9067609190. The cubic root of 70072080 is about 412.2699396664.

Adding to 70072080 its reverse (8027007), we get a palindrome (78099087).

The spelling of 70072080 in words is "seventy million, seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 104 111 120 130 148 156 185 195 208 222 240 260 296 312 370 390 444 481 520 555 592 607 624 740 780 888 962 1040 1110 1214 1443 1480 1560 1776 1821 1924 2220 2405 2428 2886 2960 3035 3120 3642 3848 4440 4810 4856 5772 6070 7215 7284 7696 7891 8880 9105 9620 9712 11544 12140 14430 14568 15782 18210 19240 22459 23088 23673 24280 28860 29136 31564 36420 38480 39455 44918 47346 48560 57720 63128 67377 72840 78910 89836 94692 112295 115440 118365 126256 134754 145680 157820 179672 189384 224590 236730 269508 291967 315640 336885 359344 378768 449180 473460 539016 583934 631280 673770 875901 898360 946920 1078032 1167868 1347540 1459835 1751802 1796720 1893840 2335736 2695080 2919670 3503604 4379505 4671472 5390160 5839340 7007208 8759010 11678680 14014416 17518020 23357360 35036040 70072080